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Finding the Third Proportional to 101,021 and 149,577

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Solution

The third proportional to 101,021 and 149,577 is: 221,471.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,021 : 149,577 = 149,577 : x
  2. Step 2: Convert to fraction form
    101,021/149,577 = 149,577/x
  3. Step 3: Cross multiply
    101,021x = 149,577 × 149,577
  4. Step 4: Simplify right side
    101,021x = 22,373,278,929
  5. Step 5: Solve for x
    x = 22,373,278,929/101,021
  6. Step 6: Final answer
    x = 221,471.56

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.